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How many points do I need to plot a straight line graph.

Consider all integers from −10 to 5, and square each of them. How many distinct numbers do you get?

The value of $\sqrt[3]{3\frac{0.027}{0.008}}+\sqrt[3]{3\frac{-0.027}{0.008}}+2$ is

Question 10

Multiplicative inverse of a negative rational number is:

(a) a positive rational number.

(b) a negative rational number.

(c) 0

(d) 1

Draw angle ABC of any suitable measure.

(i) Draw BP, the bisector of angle ABC.

(ii) Draw BR, the bisector of angle PBC and draw BQ, the bisector of angle ABP.

(iii) Are the angles ABQ, QBP, PBR and RBC equal ?

(iv) Are the angles ABR and QBC equal ?

1. 6000

Question 133

Solve the following question:

Find the square root of 324 by the method of repeated subtraction.

The corresponding sides of 2 similar triangles $△ABC$ and $△PQR$ are in the ratio 5:2. Given that AB=3 cm and AC=10 cm,the length of side PR (in cm) is___________.

Find the multiplicative inverse (reciprocal) of each of the following rational numbers:

(i) 9 (ii)-7

(iii)$\frac{12}{5}$ (iv)$\frac{-7}{9}$

(v)$\frac{-3}{-5}$ (vi)$\frac{2}{3}\times \frac{9}{4}$

(vii)$\frac{-5}{8}\times \frac{16}{15}$ (viii)$-2\times \frac{-3}{5}$

(ix) -1 (x)$\frac{0}{3}$

(ix)-1 (xi)1

Question 51

Find the value of the letters in the following question:

$B6+8A\_\_\_\_\_CA2$

If 3676.48 can be written in expanded form as:

$3\times {10}^a+b\times {10}^2+7\times {10}^c+6\times {10}^0+4\times {10}^d+e\times {10}^{-2}$ .

$\text{Find the value of}a+b-c-d-e.$

The area of the base of a right circular cylinder is $616c{m}^2$ and its height is 2.5 cm. Find the curved surface area of the cylinder.

Question 4(iii)
Obtain the volume of rectangular boxes with the following length, breadth and height respectively:
$xy,2x^{2}y,2x{y}^2$

Burst out the polynomials.

Question 73

In the following question, state whether the statement is True (T) or False (F):

$Factorisationof-3a^2+3ab+3acis3a(-a-b-c)$.

How to find out the rational number of integers between 2 rational numbers only through the means of integers and LCM and not through midpoints.

Eg: Find 3 rational numbers between 0 and 1 only through the means of integers and LCM

The length of a rectangle is 20 cm and its breadth is 8 cm. If the length is increased by 2 cm, the increase in area is equal to

Find the common irreducible factors of

$12a^{2}band15a{b}^2.$

Question 63

Solve the following:

$\frac{1}{2}(x+1)+\frac{1}{3}(x-1)=\frac{5}{12}(x-2)$

Let $F_1$ be the set of all parallelograms, $F_2$ the set of rectangles, $F_3$ the set of rhombuses, $F_4$ the set of squares and $F_5$ the set of trapeziums in a plane, then $F_1$ is equal to

Question 69

State whether the statement is True or False.

5 hectare = $500m^2$

Based on the construction below, which of the given options must be true?

​​

To construct a square of diagonal AC =6.2 cm which of the following properties of a square do we use?

Question 97(i)

The following pie chart depicts the expenditure of a state government under different heads :

If the total spending is 10 crore, how much money was spent on roads ?

Question 11

If x + 0 = 0 + x = x, which is rational number, then 0 is called:

(a) identity for addition of rational numbers.

(b) additive inverse of x.

(c) multiplicative inverse of x.

(d) reciprocal of x.

A godwan measures 40 m $\times$25 m $\times$15 m. Find the maximum number of wooden cretes each measuring 1.5 m $\times$1.25 m $\times$0.5 m, that can be stored in the godown.

Question 82 (a)

Express the following numbers in standard form.
76,47,000

The perimeter of a square is 28 cm. Find the length of its diagonal.

Find the least number, which needs to be added to 55078, so that the resulting number is a perfect square.

The simple interest for the principal Rs 3000, time 2 years and rate of interest 5% is: